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Popular >

5x^2-8x+19>= 0

Solution

5 x^{2} - 8 x + 19 \geq 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

5 x^{2} - 8 x + 19 \geq 0

Complete the square

5 x^{2} - 8 x + 19 : 5 (x - \frac{4}{5})^{2} + \frac{79}{5}

5 (x - \frac{4}{5})^{2} + \frac{79}{5} \geq 0

Move

\frac{79}{5}

to the right side

5 (x - \frac{4}{5})^{2} \geq - \frac{79}{5}

Divide both sides by

5

(x - \frac{4}{5})^{2} \geq - \frac{79}{25}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

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8 x^{2} - 14 = - 11

((2x-3))/((x+1))<= 1

\frac{( 2 x - 3 )}{( x + 1 )} \leq 1

Frequently Asked Questions (FAQ)

What is 5x^2-8x+19>= 0 ?
The solution to 5x^2-8x+19>= 0 is True for all x